Solve 7/8+5/9

$$\frac{ 7 }{ 8 } + \frac{ 5 }{ 9 }$$

Evaluate

$$\frac{103}{72}\approx 1.430555556$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{7}{8} and \frac{5}{9} to fractions with denominator 72.

$$\frac{63}{72}+\frac{40}{72}$$

Since \frac{63}{72} and \frac{40}{72} have the same denominator, add them by adding their numerators.

$$\frac{63+40}{72}$$

Add 63 and 40 to get 103.

$$\frac{103}{72}$$

Factor

$$\frac{103}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{31}{72} = 1.4305555555555556$$